2. 2. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot. log y 0.251+0.281 x Residuals Versus x (response is log y) log y 0.264+ 0.230 log x Residuals Versus log r (response is log y) Residual 0.015 F 0.075 f 0.010+ 0.050- 0.005+ 0.000 Residual 0.025- 0.000- -0.005+ -0.025 -0.010+ -0.050- -0.015+ 0.0 0.2 0.4 0.6 0.8 1.0 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 -0.0 log x Least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct? a) Model A is appropriate, since the relationship between x and y is linear. b) Model B is appropriate, since the relationship between x and y is linear. c) Model A is appropriate, since the relationship between log x and log y is linear. d) Model A is appropriate, since the relationship between log x and y is linear. e) Model B is appropriate, since the relationship between x and log y is linear. turay

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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2.
2. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were
fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot.
log y 0.251+0.281 x
Residuals Versus x
(response is log y)
log y 0.264+ 0.230 log x
Residuals Versus log r
(response is log y)
Residual
0.015 F
0.075 f
0.010+
0.050-
0.005+
0.000
Residual
0.025-
0.000-
-0.005+
-0.025
-0.010+
-0.050-
-0.015+
0.0
0.2
0.4
0.6
0.8
1.0
-1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 -0.0
log x
Least squares estimation of the parameters in Model B yielded the following equation and residual plot.
Which of the following conclusions is correct?
a) Model A is appropriate, since the relationship between x and y is linear.
b) Model B is appropriate, since the relationship between x and y is linear.
c) Model A is appropriate, since the relationship between log x and log y is linear.
d) Model A is appropriate, since the relationship between log x and y is linear.
e) Model B is appropriate, since the relationship between x and log y is linear.
turay
Transcribed Image Text:2. 2. Two variables, x and y, were measured for a random sample of 25 subjects, and two separate regression models were fit to the data. Least squares estimation of the parameters in Model A yielded the following equation and residual plot. log y 0.251+0.281 x Residuals Versus x (response is log y) log y 0.264+ 0.230 log x Residuals Versus log r (response is log y) Residual 0.015 F 0.075 f 0.010+ 0.050- 0.005+ 0.000 Residual 0.025- 0.000- -0.005+ -0.025 -0.010+ -0.050- -0.015+ 0.0 0.2 0.4 0.6 0.8 1.0 -1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 -0.0 log x Least squares estimation of the parameters in Model B yielded the following equation and residual plot. Which of the following conclusions is correct? a) Model A is appropriate, since the relationship between x and y is linear. b) Model B is appropriate, since the relationship between x and y is linear. c) Model A is appropriate, since the relationship between log x and log y is linear. d) Model A is appropriate, since the relationship between log x and y is linear. e) Model B is appropriate, since the relationship between x and log y is linear. turay
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